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Finding the Fourth Proportional to 25,378.31, 35,023.73 and 14,200.31

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Solution

The fourth proportional to 25,378.31, 35,023.73 and 14,200.31 is: 19,597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,378.31 : 35,023.73 = 14,200.31 : x
  2. Step 2: Convert to fraction form
    25,378.31/35,023.73 = 14,200.31/x
  3. Step 3: Cross multiply
    25,378.31x = 35,023.73 × 14,200.31
  4. Step 4: Simplify right side
    25,378.31x = 497,347,839.91
  5. Step 5: Solve for x
    x = 497,347,839.91/25,378.31
  6. Step 6: Final answer
    x = 19,597.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.